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Mama L [17]
4 years ago
11

What is the factorization of the trinomial below?

Mathematics
2 answers:
Andreas93 [3]4 years ago
7 0

Answer:

A

Step-by-step explanation:

Given

4x² + 28x + 48 ← factor out 4 from each term

= 4(x² + 7x + 12)

To factor the quadratic

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term

The factors are + 4 and + 3, since

4 × 3 = 12 and 4 + 3 = 7, thus

x² + 7x + 12 = (x + 3)(x + 4) and

4x² + 28x + 48 = 4(x + 3)(x + 4) → A

dolphi86 [110]4 years ago
6 0

4x^2+28x + 48=\\4(x^2+7x+12)=\\4(x^2+3x+4x+12)=\\4(x(x+3)+4(x+3))=\\4(x+3)(x+4)

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Mating eagle pairs typically have two baby eagles (called eaglets). When there are two eaglets, the parents always feed the olde
My name is Ann [436]

Answer:

C. x 0 1 2 p(x) 0.35 0.60 0.05

Step-by-step explanation:

50% chance of survival

Let:

x = older eaglet survive

y = younger eaglet survive

Hence,

P(x = 0) (none of the eaglet survive)

P(x = 1) (only one survive)

P(x = 2) (both survive)

P(x) = 0.5

P(x') = 1 - 0.5 = 0.5

P(x n y) = 0.5 * 0.1 = 0.05 ( both survive)

P(only one survive)

P(y n x') + p(y' n x)

(0.5 * 0.3) + (0.5 * (1 - 0.1))

0.15 + 0.45 = 0.6

P(none survives)

1 - (0.60 + 0.05)

= 0.35

X _______ 0 ______ 1 ______ 2

P(x) ____ 0.35 ____ 0.60 ___ 0.05

5 0
3 years ago
Solve the equation: 5x + 5 = 0
Igoryamba

Answer:

x = -1

Step-by-step explanation:

5x + 5 = 0

Subtract 5 from each side

5x+5-5 = 0-5

5x = -5

Divide by 5 on each side

5x/5 = -5/5

x = -1

3 0
3 years ago
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How many different groups of 3 movies can a person rent if there are 12 movies to choose from?
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If there are 12 movies and a person can rent three, then there are 220 different combinations they can be rented in.
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3 years ago
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A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models
polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}, where:

x_2 is the second point in the function

x_1 is the first point in the function

f(x_2) is the function evaluated at the second point

f(x_1) is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so x_1=1 and x_2=10. Replacing values:

Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}

Av=\frac{-100+200+50-[-1+20+50]}{9}

Av=\frac{150-[69]}{9}

Av=\frac{150-69}{9}

Av=\frac{81}{9}

Av=9

Since f(x) represents the number of pounds per acre and x the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0
4 years ago
Train A travels 30 miles in 20 minutes at a constant speed. Train B travels 20 miles in 15 minutes at a constant speed. Redo Whi
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\begin{gathered} \text{Train A}\Rightarrow\frac{30\text{ miles}}{20\text{ minute}}=1.5\text{ miles/minute} \\ \text{ Train B}\Rightarrow\frac{20\text{ miles}}{15\text{ minute}}=1.34\text{ miles/minute} \\ \text{The train A is going faster.} \end{gathered}

3 0
1 year ago
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